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Simplifying 10(z + -4) = 2z Reorder the terms: 10(-4 + z) = 2z (-4 * 10 + z * 10) = 2z (-40 + 10z) = 2z Solving -40 + 10z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -40 + 10z + -2z = 2z + -2z Combine like terms: 10z + -2z = 8z -40 + 8z = 2z + -2z Combine like terms: 2z + -2z = 0 -40 + 8z = 0 Add '40' to each side of the equation. -40 + 40 + 8z = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8z = 0 + 40 8z = 0 + 40 Combine like terms: 0 + 40 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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